31380349653745664
31,380,349,653,745,664 is an even composite number composed of four prime numbers multiplied together.
What does the number 31380349653745664 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 972 divisors.
31380349653745664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 31380349653745664:
217 × 112 × 135 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 73 × 73)See below for interesting mathematical facts about the number 31380349653745664 from the Numbermatics database.
Names of 31380349653745664
- Cardinal: 31380349653745664 can be written as Thirty-one quadrillion, three hundred eighty trillion, three hundred forty-nine billion, six hundred fifty-three million, seven hundred forty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.1380349653745664 × 1016
Factors of 31380349653745664
Divisors of 31380349653745664
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 121 128 143 146 169 176 208 242 256 286 292 338 352 416 484 512 572 584 676 704 803 832 949 968 1024 1144 1168 1352 1408 1573 1606 1664 1859 1898 1936 2048 2197 2288 2336 2704 2816 3146 3212 3328 3718 3796 3872 4096 4394 4576 4672 5329 5408 5632 6292 6424 6656 7436 7592 7744 8192 8788 8833 9152 9344 10439 10658 10816 11264 12337 12584 12848 13312 14872 15184 15488 16384 17576 17666 18304 18688 20449 20878 21316 21632 22528 24167 24674 25168 25696 26624 28561 29744 30368 30976 32768 35152 35332 36608 37376 40898 41756 42632 43264 45056 48334 49348 50336 51392 53248 57122 58619 59488 60736 61952 65536 69277 70304 70664 73216 74752 81796 83512 85264 86528 90112 96668 98696 100672 102784 106496 114244 114829 117238 118976 121472 123904 131072 135707 138554 140608 141328 146432 149504 160381 163592 167024 170528 173056 180224 193336 197392 201344 205568 212992 228488 229658 234476 237952 242944 247808 265837 271414 277108 281216 282656 292864 299008 314171 320762 327184 334048 341056 346112 360448 371293 386672 394784 402688 411136 425984 456976 459316 468952 475904 485888 495616 531674 542828 554216 562432 565312 585728 598016 628342 641524 644809 654368 668096 682112 692224 720896 742586 762047 773344 789568 805376 822272 851968 900601 913952 918632 937904 951808 971776 991232 1063348 1085656 1108432 1124864 1130624 1171456 1196032 1256684 1283048 1289618 1308736 1336192 1364224 1384448 1441792 1485172 1492777 1524094 1546688 1579136 1610752 1644544 1703936 1764191 1801202 1827904 1837264 1875808 1903616 1943552 1982464 2084953 2126696 2171312 2216864 2249728 2261248 2342912 2392064 2513368 2566096 2579236 2617472 2672384 2728448 2768896 2970344 2985554 3048188 3093376 3158272 3221504 3289088 3455881 3528382 3602404 3655808 3674528 3751616 3807232 3887104 3964928 4084223 4169906 4253392 4342624 4433728 4499456 4522496 4685824 4784128 5026736 5132192 5158472 5234944 5344768 5456896 5537792 5940688 5971108 6096376 6186752 6316544 6443008 6578176 6911762 7056764 7204808 7311616 7349056 7503232 7614464 7774208 7929856 8168446 8339812 8382517 8506784 8685248 8867456 8998912 9044992 9371648 9568256 9906611 10053472 10264384 10316944 10469888 10689536 10913792 11075584 11707813 11881376 11942216 12192752 12373504 12633088 12886016 13156352 13823524 14113528 14409616 14623232 14698112 15006464 15228928 15548416 15859712 16336892 16679624 16765034 17013568 17370496 17734912 17997824 18089984 18743296 19406101 19813222 20106944 20528768 20633888 20939776 21379072 21827584 22151168 22934483 23415626 23762752 23884432 24385504 24747008 25266176 25772032 26312704 27104389 27647048 28227056 28819232 29246464 29396224 30012928 30457856 31096832 32673784 33359248 33530068 34027136 34740992 35469824 35995648 36179968 38812202 39626444 40213888 41057536 41267776 41879552 42758144 43655168 44926453 45868966 46831252 47525504 47768864 48771008 49494016 50532352 51544064 52625408 54208778 55294096 56454112 57638464 58492928 58792448 60025856 60915712 62193664 65347568 66718496 67060136 68054272 69481984 70939648 71991296 72359936 77624404 79252888 80427776 82115072 82535552 83759104 85516288 87310336 89852906 91737932 93662504 95051008 95537728 97542016 98988032 101064704 103088128 105250816 108417556 108972721 110588192 112908224 115276928 116985856 117584896 120051712 121831424 124387328 128785943 130695136 133436992 134120272 136108544 138963968 141879296 143982592 144719872 152201569 155248808 158505776 160855552 164230144 165071104 167518208 171032576 174620672 179705812 183475864 187325008 190102016 191075456 195084032 197976064 202129408 206176256 216835112 217945442 221176384 225816448 230553856 233971712 235169792 240103424 243662848 252279313 257571886 261390272 266873984 268240544 272217088 277927936 283758592 287965184 289439744 298148279 304403138 310497616 317011552 321711104 328460288 330142208 335036416 342065152 349241344 359411624 366951728 374650016 380204032 382150912 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16728977408 17079934976 17167394816 17421893632 17787387904 18416389849 19081489856 19481800832 19871847424 20288739328 20589510656 21021458432 21129101312 21764824367 22666325968 23002343936 23484910592 23977601024 24333058048 24457658368 24970756096 26237048552 26787476144 27754894336 27897016576 28310577152 28904505344 29510893568 31657926352 32291752064 32969201408 33457954816 34159869952 34334789632 34843787264 36832779698 38162979712 38963601664 39743694848 40577478656 41179021312 42258202624 43529648734 45332651936 46004687872 46969821184 47955202048 48666116096 48915316736 49941512192 52474097104 53574952288 55509788672 55794033152 56621154304 57809010688 59021787136 63315852704 64583504128 65938402816 66915909632 68319739904 68669579264 73665559396 76325959424 77927203328 79487389696 81154957312 84516405248 87059297468 90665303872 92009375744 93939642368 95910404096 97830633472 99883024384 104948194208 107149904576 111019577344 111588066304 113242308608 115618021376 118043574272 126631705408 129167008256 131876805632 133831819264 136639479808 137339158528 147331118792 152651918848 155854406656 158974779392 162309914624 174118594936 181330607744 184018751488 187879284736 191820808192 195661266944 209896388416 214299809152 222039154688 223176132608 226484617216 231236042752 239413068037 253263410816 258334016512 263753611264 267663638528 273278959616 274678317056 294662237584 305303837696 311708813312 317949558784 324619829248 348237189872 362661215488 368037502976 375758569472 383641616384 419792776832 428599618304 444078309376 446352265216 452969234432 478826136074 506526821632 516668033024 527507222528 535327277056 549356634112 589324475168 610607675392 623417626624 635899117568 649239658496 696474379744 725322430976 736075005952 751517138944 767283232768 839585553664 857199236608 888156618752 892704530432 957652272148 1013053643264 1033336066048 1055014445056 1098713268224 1178648950336 1221215350784 1246835253248 1271798235136 1298479316992 1392948759488 1450644861952 1472150011904 1503034277888 1534566465536 1679171107328 1714398473216 1776313237504 1785409060864 1915304544296 2026107286528 2066672132096 2110028890112 2357297900672 2442430701568 2493670506496 2543596470272 2785897518976 2901289723904 2944300023808 3006068555776 3358342214656 3428796946432 3552626475008 3570818121728 3830609088592 4052214573056 4133344264192 4220057780224 4714595801344 4884861403136 4987341012992 5571795037952 5802579447808 5888600047616 6716684429312 6857593892864 7141636243456 7661218177184 8104429146112 8266688528384 8440115560448 9429191602688 9769722806272 9974682025984 11143590075904 11605158895616 13433368858624 13715187785728 14283272486912 15322436354368 16208858292224 16533377056768 16880231120896 18858383205376 19539445612544 19949364051968 22287180151808 23210317791232 26866737717248 27430375571456 30644872708736 32417716584448 33066754113536 37716766410752 39078891225088 44574360303616 46420635582464 53733475434496 54860751142912 61289745417472 64835433168896 75433532821504 89148720607232 92841271164928 107466950868992 109721502285824 122579490834944 129670866337792 150867065643008 178297441214464 185682542329856 214933901737984 219443004571648 245158981669888 259341732675584 301734131286016 356594882428928 429867803475968 490317963339776 603468262572032 713189764857856 980635926679552 1206936525144064 1426379529715712 1961271853359104 2413873050288128 2852759059431424 3922543706718208 7845087413436416 15690174826872832 31380349653745664
- Sum of all divisors σ(n): 75771110371365738
- Sum of proper divisors (its aliquot sum) s(n): 44390760717620074
- 31380349653745664 is an abundant number, because the sum of its proper divisors (44390760717620074) is greater than itself. Its abundance is 13010411063874410
Bases of 31380349653745664
- Binary: 11011110111110001000011000000100000101000000000000000002
- Hexadecimal: 0x6F7C43020A0000
- Base-36: 8KZELM77ZSW
Squares and roots of 31380349653745664
- 31380349653745664 squared (313803496537456642) is 984726344391335614496865198800896
- 31380349653745664 cubed (313803496537456643) is 30901057000254882031447466490427663301287759314944
-
The
square root of 31380349653745664 is 177144996.1295708291 -
The
cube root of 31380349653745664 is 315417.6023540375
Scales and comparisons
How big is 31380349653745664?- 31,380,349,653,745,664 seconds is equal to 997,798,053 years, 10 weeks, 19 hours, 7 minutes, 44 seconds.
-
To count from 1 to 31,380,349,653,745,664 would take you about two billion, nine hundred ninety-three million, three hundred ninety-four thousand, one hundred fifty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 31380349653745664 cubic inches would be around 26284.8 feet tall.
Recreational maths with 31380349653745664
- 31380349653745664 backwards is 46654735694308313
- The number of decimal digits it has is: 17
- The sum of 31380349653745664's digits is 77
- More coming soon!
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The information we have on file for 31380349653745664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 31380349653745664, math, Factors of 31380349653745664, curriculum, school, college, exams, university, Prime factorization of 31380349653745664, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quadrillion, three hundred eighty trillion, three hundred forty-nine billion, six hundred fifty-three million, seven hundred forty-five thousand, six hundred sixty-four.